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Cascades of two-pole–two-zero asymmetric resonators are good models of peripheral auditory function

J. Acoust. Soc. Am. Volume 130, Issue 6, pp. 3893-3904 (2011); (12 pages)

Richard F. Lyon

Google Inc., 1600 Amphitheatre Parkway, Mountain View, California 94043

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A cascade of two-pole–two-zero filter stages is a good model of the auditory periphery in two distinct ways. First, in the form of the pole–zero filter cascade, it acts as an auditory filter model that provides an excellent fit to data on human detection of tones in masking noise, with fewer fitting parameters than previously reported filter models such as the roex and gammachirp models. Second, when extended to the form of the cascade of asymmetric resonators with fast-acting compression, it serves as an efficient front-end filterbank for machine-hearing applications, including dynamic nonlinear effects such as fast wide-dynamic-range compression. In their underlying linear approximations, these filters are described by their poles and zeros, that is, by rational transfer functions, which makes them simple to implement in analog or digital domains. Other advantages in these models derive from the close connection of the filter-cascade architecture to wave propagation in the cochlea. These models also reflect the automatic-gain-control function of the auditory system and can maintain approximately constant impulse-response zero-crossing times as the level-dependent parameters change.

© 2011 Acoustical Society of America

Article Outline

  1. INTRODUCTION
  2. AUDITORY FILTER MODELS
    1. Time-varying and nonlinear auditory filters
    2. Level dependence via output-level feedback
    3. Nonlinear frequency scales
  3. FILTER CASCADES
    1. How filter cascades work
    2. Filter-cascade stages with zeros
    3. The PZFC/CAR-FAC architecture
    4. PZFC/CAR-FAC transfer functions
    5. CAR-FAC implementation
  4. FITTING FILTERS TO MASKING DATA
    1. Human notched-noise masking data
    2. Nonlinear filter fitting approach
    3. Fitted psychoacoustic filter shapes
    4. PZFC and OZGF provide good fits with few parameters
  5. IMPULSE RESPONSES AND PHYSIOLOGICAL DATA
  6. CONCLUSION

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KEYWORDS and PACS

PACS

  • 43.66.Ba

    Models and theories of auditory processes

  • 43.64.Bt

    Models and theories of the auditory system

  • 43.66.Dc

    Masking

ARTICLE DATA

History
Received 28 Feb 2011
Accepted 11 Oct 2011
Revised 10 Oct 2011

PUBLICATION DATA

ISSN

0001-4966 (print)  

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